This is MadNLP version v0.12.0, running with cuDSS v1.0.0

Number of nonzeros in constraint Jacobian............:        0
Number of nonzeros in Lagrangian Hessian.............:        9

Total number of variables............................:        2
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:        0
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        0
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  1.4203125e+01 0.00e+00 2.78e+01 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  1.0136800e+01 0.00e+00 1.88e+01 0.00e+00  -1.0    2.0  1.00e+00  1  1f
   2  5.2602035e+00 0.00e+00 1.00e+01 0.00e+00  -1.0    1.5  1.00e+00  1  1f
   3  1.5824274e-01 0.00e+00 2.03e+00 0.00e+00  -1.0     -   5.00e-01  1  2f
   4  6.1757812e-03 0.00e+00 1.72e-01 0.00e+00  -1.0     -   5.00e-01  1  2f
   5  3.8783954e-04 0.00e+00 3.99e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
   6  3.4142491e-06 0.00e+00 6.27e-03 0.00e+00  -2.5     -   1.00e+00  1  1f
   7  3.6533397e-10 0.00e+00 5.16e-05 0.00e+00  -3.8     -   1.00e+00  1  1f
   8  4.3425697e-18 0.00e+00 6.86e-09 0.00e+00  -5.7     -   1.00e+00  1  1f

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   4.3425697066211683e-18    4.3425697066211683e-18
Dual infeasibility......:   6.8622054171086045e-09    6.8622054171086045e-09
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   6.8622054171086045e-09    6.8622054171086045e-09

Number of objective function evaluations              = 19
Number of objective gradient evaluations              = 9
Number of constraint evaluations                      = 19
Number of constraint Jacobian evaluations             = 9
Number of Lagrangian Hessian evaluations              = 8
Number of KKT factorizations                          = 13
Number of KKT backsolves                              = 16

Total wall secs in initialization                     =  0.023 s
Total wall secs in linear solver                      =  0.006 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.006 s
Total wall secs                                       =  0.037 s

EXIT: Optimal Solution Found (tol = 1.0e-08).